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3 years ago

Consider the difference below.

Mathematics

1 answer:

mina [271]3 years ago

4 0

Answer:

(-(5 x^3 + 40 x^2 + 24))/(8 x^2) - I can't read the picture yousend it's way to small.

Step-by-step explanation:

Simplify the following:

x - (5 x)/8 - x - 5 - 3/x^2

Put each term in x - (5 x)/8 - x - 5 - 3/x^2 over the common denominator 8 x^2: x - (5 x)/8 - x - 5 - 3/x^2 = (8 x^3)/(8 x^2) - (5 x^3)/(8 x^2) - (8 x^3)/(8 x^2) - (40 x^2)/(8 x^2) - 24/(8 x^2):

(8 x^3)/(8 x^2) - (5 x^3)/(8 x^2) - (8 x^3)/(8 x^2) - (40 x^2)/(8 x^2) - 24/(8 x^2)

(8 x^3)/(8 x^2) - (5 x^3)/(8 x^2) - (8 x^3)/(8 x^2) - (40 x^2)/(8 x^2) - 24/(8 x^2) = (8 x^3 - 5 x^3 - 8 x^3 - 40 x^2 - 24)/(8 x^2):

(8 x^3 - 5 x^3 - 8 x^3 - 40 x^2 - 24)/(8 x^2)

Grouping like terms, 8 x^3 - 5 x^3 - 8 x^3 - 40 x^2 - 24 = (8 x^3 - 8 x^3 - 5 x^3) - 40 x^2 - 24:

((8 x^3 - 8 x^3 - 5 x^3) - 40 x^2 - 24)/(8 x^2)

8 x^3 - 8 x^3 - 5 x^3 = -5 x^3:

(-5 x^3 - 40 x^2 - 24)/(8 x^2)

Factor -1 out of -5 x^3 - 40 x^2 - 24:

Answer: (-(5 x^3 + 40 x^2 + 24))/(8 x^2)

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Last semester, Aaron earned an average score of 90 points on math tests. So far this semester, his average score is 10% lower. W

melamori03 [73]

Answer:

He average for this semester so far is 81 points.

Step-by-step explanation:

Since his score is 10% lower this semester than last semester, then he present score is 100% from the prior semester minus 10%, which equals to 90% of the previous semester. In order to calculate that percentage we can use a rule of three as shown below:

90 points -> 100%

x points -> 90%

100*x = 90*90

x = 8100/100 = 81

He average for this semester so far is 81 points.

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3 years ago

Read 2 more answers

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aleksley [76]

One barrel is equal to one cylinder. A cylinder consists of two faces which are circles and everything in between. The area of a circle is pi times radius squared. Using 3.14 as pi, multiply the square of the radius (9) by 3.14. You should get 28.26 . Multiply that because a cylinder consists of TWO circles as faces. That should be 56.52. To find the "wrap" or surface area of the space in between the circle, you need to find the circumference of the circle and multiply it by the height of the barrel (5ft). The circumference of a circle is pi (3.14) times diameter (6). The circumference of the barrel should be 18.84. Multiply that by the height and you should get 94.2. Now, take that number and add it to 56.52. The final answer would be 150.72

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3 years ago

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This problem involves drawing three cards from a deck of cards. Assume that the deck contains 3 aces, 5 other face cards, and 11

Kryger [21]

Answer with Step-by-step explanation:

We are given that

Number of ace cards=3

Number of face cards=5

Number of non-face cards=11

When we draw randomly 3 cards.

Z=5(number of aces)+4(number of other face cards)

We have to determine the possible different values for the random variable Z

Number of ace cards=3, number of other face cards=0

Z=5(3)+4(0)=15

Number of ace cards=2, number of other face cards=1

$z=5(2)+4(1)=14$

Number of ace card=1, number of other face cards=2

Z=5(1)+4(2)=13

Number of ace card=0, number of other face cards=3

Z=5(0)+4(3)=12

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3 years ago

Help me solve this problem

Alexxx [7]

Answer:

C. Associative Property

Step-by-step explanation:

The associative property of addition states that changing the grouping of the addends does not change the sum.

(-7+3)= -4

-4+9= 5

(3+9)= 12

-7+12=5

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4 years ago

The time to complete the construction of a soapbox derby car is normally distributed with a mean of three hours and a standard d

Bezzdna [24]

Answer:

0% probability that it would take exactly 3.7 hours to construct a soapbox derby car

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Also, the probability of finding an exact value in the normal probability distribution is 0.

0% probability that it would take exactly 3.7 hours to construct a soapbox derby car

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3 years ago